Estimating Saturated Hydraulic Conductivity and Effective Porosity Using Inverse Method

Document Type : Research Paper

Authors

1 PhD student, Irrigation and Drainage, Tarbiat Modarres University

2 Associate Professor, Water Structures Department

3 Assistant Professor, Irrigation and Drainage Department and PhD student of Irrigation

4 Drainage Department and PhD student of Irrigation and Drainage Department, Tarbiat Modarres University, respectively

Abstract

Hydraulic conductivity and effective porosity are the most important parameters in determining drain spacing. These properties have temporal and spatial variation and estimating average values for them is difficult and costly. In this study, one dimensional differential equation of unsteady flow towards drainage was numerically solved using the control volume approach. Then by selecting a proper optimization algorithm, an inverse model was developed, calibrated and verified. In addition to numerical model, Glover-Dumm analytical solution was also used for the development of an inverse model. Then saturated hydraulic conductivity and effective porosity were estimated using these numerical and analytical inverse models. Results indicated, that using values of hydraulic conductivity and effective porosity obtained from numerical inverse model compared to experimental ones, resulted in a more accurate prediction of water table by proposed numerical method. Also, the efficiency of the proposed numerical model ( 0.93 ) is higher than the analytical ones (0.75).

Keywords


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